Online GCD Calculator is useful to find the GCD of 421, 278, 900, 159 quickly. Get the easiest ways to solve the greatest common divisor of 421, 278, 900, 159 i.e 1 in different methods as follows.
Given Input numbers are 421, 278, 900, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (421, 278, 900, 159) = 1.
Given numbers are 421, 278, 900, 159
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 278 are 2 x 139
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 159 are 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 278, 900, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 278) = 117038
GCD(421, 278) = ( 421 x 278 ) / 117038
= 421 / 278
= 421
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
So, Greatest Common Divisor of 421, 278, 900, 159 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 278, 900, 159
The greatest common divisor of numbers 421, 278, 900, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 278, 900, 159 is 1.
1. What is the GCD of 421, 278, 900, 159?
GCD of given numbers 421, 278, 900, 159 is 1
2. How to calculate the greatest common divisor of 421, 278, 900, 159?
We can find the highest common divisor of 421, 278, 900, 159 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 421, 278, 900, 159 i.e 1.
3. How can I use the GCD of 421, 278, 900, 159Calculator?
Out the numbers 421, 278, 900, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.